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Finding the Third Proportional to 79,078 and 118,942

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Solution

The third proportional to 79,078 and 118,942 is: 178,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,078 : 118,942 = 118,942 : x
  2. Step 2: Convert to fraction form
    79,078/118,942 = 118,942/x
  3. Step 3: Cross multiply
    79,078x = 118,942 × 118,942
  4. Step 4: Simplify right side
    79,078x = 14,147,199,364
  5. Step 5: Solve for x
    x = 14,147,199,364/79,078
  6. Step 6: Final answer
    x = 178,901.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.